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Finding the Fourth Proportional to 273,877.80, 410,816.70 and 185,404.20

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Solution

The fourth proportional to 273,877.80, 410,816.70 and 185,404.20 is: 278,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,877.80 : 410,816.70 = 185,404.20 : x
  2. Step 2: Convert to fraction form
    273,877.80/410,816.70 = 185,404.20/x
  3. Step 3: Cross multiply
    273,877.80x = 410,816.70 × 185,404.20
  4. Step 4: Simplify right side
    273,877.80x = 76,167,141,610.14
  5. Step 5: Solve for x
    x = 76,167,141,610.14/273,877.80
  6. Step 6: Final answer
    x = 278,106.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.